The former United midfielder has questioned how long fans can rely on the defender's "potential."
The England defender, who can play at centre-back, right-back and in midfield, has been at Old Trafford for three years now, having joined United when he was 19 years of age.
However, Scholes says he is yet to live up to his potential and believes he is not good enough to play at centre-back.
"Jones is another one of those for whom the question of 'potential' comes up," Scholes wrote in the London Evening Standard.
"How long are we going to talk about his potential before he becomes the real deal? He is 22 now and has been a United player for three years.
"I don’t feel that he senses danger in the way that a centre-half should do. I would prefer him to play at right-back, or in midfield."
Manchester United lost their first game of the league season on Saturday, when they opened their campaign with a 2-1 defeat to Swansea City at Old Trafford.
Louis van Gaal's side travel to Sunderland for their next Premier League clash on Sunday afternoon.
United also confirmed the signing of a new defender, Argentina international Marcos Rojo, yesterday evening.